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Finding the Fourth Proportional to 324.67, 485.79 and 194.74

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Solution

The fourth proportional to 324.67, 485.79 and 194.74 is: 291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.67 : 485.79 = 194.74 : x
  2. Step 2: Convert to fraction form
    324.67/485.79 = 194.74/x
  3. Step 3: Cross multiply
    324.67x = 485.79 × 194.74
  4. Step 4: Simplify right side
    324.67x = 94,602.74
  5. Step 5: Solve for x
    x = 94,602.74/324.67
  6. Step 6: Final answer
    x = 291.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.